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dc.contributor.authorGomez, Hector
dc.contributor.authorHughes, Thomas Jr R
dc.contributor.authorNogueira, Xesús
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-08-02T09:12:15Z
dc.date.available2015-08-02T09:12:15Z
dc.date.issued2010-05
dc.identifier.citationGomez, H., Hughes, T. J. R., Nogueira, X., & Calo, V. M. (2010). Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations. Computer Methods in Applied Mechanics and Engineering, 199(25-28), 1828–1840. doi:10.1016/j.cma.2010.02.010
dc.identifier.issn00457825
dc.identifier.doi10.1016/j.cma.2010.02.010
dc.identifier.urihttp://hdl.handle.net/10754/561473
dc.description.abstractThis paper is devoted to the numerical simulation of the Navier-Stokes-Korteweg equations, a phase-field model for water/water-vapor two-phase flows. We develop a numerical formulation based on isogeometric analysis that permits straightforward treatment of the higher-order partial-differential operator that represents capillarity. We introduce a new refinement methodology that desensitizes the numerical solution to the computational mesh and achieves mesh invariant solutions. Finally, we present several numerical examples in two and three dimensions that illustrate the effectiveness and robustness of our approach. © 2010 Elsevier B.V.
dc.description.sponsorshipH. Gomez was partially supported by the J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences. H. Gomez and X. Nogueira gratefully acknowledge the funding provided by Xunta de Galicia (grants # 09REM005118PR and # 09MDS00718PR), Ministerio de Educacion y Ciencia (grants #DPI2007-61214 and #DPI2009-14546-C02-01) cofinanced with FEDER funds, and Universidade do Coruna. T.J.R. Hughes and V.M. Calo were partially supported by the Office of Naval Research under Contract Number N00014-08-1-0992. V.M. Calo was partially supported by a grant from King Abdullah University of Science and Technology under the KAUST-UT Austin Academic Excellence Agreement. We acknowledge the Texas Advanced Computing Center (TACC) and Teragrid, MCA075032, for the computational time.
dc.publisherElsevier BV
dc.subjectCondensation
dc.subjectIsogeometric analysis
dc.subjectNavier-Stokes-Korteweg
dc.subjectPhase-field
dc.subjectVaporization
dc.titleIsogeometric analysis of the isothermal Navier-Stokes-Korteweg equations
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalComputer Methods in Applied Mechanics and Engineering
dc.contributor.institutionGroup of Numerical Methods in Engineering, University of A Coruña, Department of Mathematical Methods, Campus de Elviña, s/n 15192, A Coruña, Spain
dc.contributor.institutionInstitute for Computational Engineering and Sciences, The University of Texas at Austin, 1 University Station, C0200, 201 E. 24th Street, Austin TX 78712, United States
kaust.personCalo, Victor M.


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